Unplug the Kenmore washer from the electrical outlet. Raise the front of the washing machine and slide a wooden block under it. Remove the screws from the bottom of the lower front panel using a Phillips screwdriver.
Pull down and out on the lower front panel to pull it away from the washing machine frame. Locate the pump on the left side of the washer toward the rear. Release the tab on the wire shield and push it back. Unplug the wires from the posts on the pump.
Release the hose clamps on the pump hoses using a pair of channel-lock pliers. Clean up water spillage from the hoses using old rags. Remove the pump retaining screws from the base of the washer using a Phillips screwdriver.
Pull the pump out of the appliance and discard it. Put the new pump in place and tighten the retaining screws using the Phillips screwdriver. Connect the hoses to the pump and secure the clamps using a pair of channel-lock pliers.
Plug the wires into the pump. Close the wire shield and make sure it snaps into place. Hook the lower front panel onto the frame so the retaining clips catch. Install the retaining screws in the bottom front panel. Remove the block from under the appliance and lower it to the floor.
Plug the Kenmore washer power cord into the electrical outlet.